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Finding the Fourth Proportional to 509.30, 763.80 and 144.12

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Solution

The fourth proportional to 509.30, 763.80 and 144.12 is: 216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.30 : 763.80 = 144.12 : x
  2. Step 2: Convert to fraction form
    509.30/763.80 = 144.12/x
  3. Step 3: Cross multiply
    509.30x = 763.80 × 144.12
  4. Step 4: Simplify right side
    509.30x = 110,078.86
  5. Step 5: Solve for x
    x = 110,078.86/509.30
  6. Step 6: Final answer
    x = 216.14

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.